Abstract
We present a test to discriminate equivalent electrical models via electrochemical impedance spectroscopy (EIS) data collected on a frequency response analyzer (FRA). Derived in the set-membership framework, this test is an interesting alternative to classical estimators, as it does not rely on statistical thresholding and bypasses many numerical limitations (initialization, convergence) of nonlinear least-squares methods. Models are systematically discarded when their associated impedance is proved not to satisfy both the experimental data and the uncertainty range of the FRA. In this paper, we detail the methodology adapted to FRA measurements and apply the test on known electrical circuits to evaluate the required uncertainty ranges of different commercial impedance meters.
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